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Nonconservative Lagrangian mechanics II: purely causal equations of motion

David W. Dreisigmeyer·Peter M. Young
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Abstract

This work builds on the Volterra series formalism presented in [D. W. Dreisigmeyer and P. M. Young, J. Phys. A \textbf{36}, 8297, (2003)] to model nonconservative systems. Here we treat Lagrangians and actions as `time dependent' Volterra series. We present a new family of kernels to be used in these Volterra series that allow us to derive a single retarded equation of motion using a variational principle.

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David W. Dreisigmeyer, Peter M. Young. 2004-02-11. Nonconservative Lagrangian mechanics II: purely causal equations of motion. https://doi.org/10.1007/s10701-015-9892-7

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